A class of scalarizations is studied in order to characterize weakly efficient, efficient and properly efficient points of a non convex vector problem.A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers.In particular,...

The aim of this paper is to characterize in terms of classical convexity and quasiconvexity of extended real-valued functions those set-valued maps which are K-convex or K-quasiconvex with respect to a convex cone K. In particular, we recover some known characterizations of K-convex and...

The aim of this paper is to characterize in terms of classical convexity and quasiconvexity of extended real-valued functions those set-valued maps which are K-convex or K-quasiconvex with respect to a convex cone K. In particular, we recover some known characterizations of K-convex and...

This paper concerns explicitly quasiconvex set-valued maps,defined on a nonempty convex subset of a real linear space with values in a partially ordered real linear space, with respect to a solid vectorially closed convex cone. It is shown that these generalized convex set-valued maps can be...